Inference on Risk Premia in the Presence of Omitted Factors

Stefano Giglio and Dacheng Xiu

No 23527, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: We propose a three-pass method to estimate the risk premia of observable factors in a linear asset pricing model, which is valid even when the observed factors are just a subset of the true factors that drive asset prices or they are measured with error. We show that the risk premium of a factor can be identified in a linear factor model regardless of the rotation of the other control factors as long as they together span the space of true factors. Motivated by this rotation invariance result, our approach uses principal components to recover the factor space and combines the estimated principal components with each observed factor to obtain a consistent estimate of its risk premium. Our methodology also accounts for potential measurement error in the observed factors and detects when such factors are spurious or even useless. The methodology exploits the blessings of dimensionality, and we therefore apply it to a large panel of equity portfolios to estimate risk premia for several workhorse linear models. The estimates are robust to the choice of test portfolios within equities as well as across many asset classes.

JEL-codes: C32 C38 C55 C58 G12 (search for similar items in EconPapers)
Date: 2017-06
New Economics Papers: this item is included in nep-ecm and nep-ore
Note: AP
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Citations: View citations in EconPapers (11)

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